Elementary Geometry ... |
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Página 114
... arc is a part of a circumference . Def . 2 . A chord of a circle is the straight line joining any two points on the circumference . When the arcs ... minor arcs respectively . Such arcs are said to be conjugate to one another . B Def . 3 . A ...
... arc is a part of a circumference . Def . 2 . A chord of a circle is the straight line joining any two points on the circumference . When the arcs ... minor arcs respectively . Such arcs are said to be conjugate to one another . B Def . 3 . A ...
Página 115
... minor segments according as the arcs that bound them are major or minor arcs . Def . 4. The conjugate angles formed ... arc , and the minor angle upon the minor arc . Def . 5. A sector is the figure contained by an arc and the radii ...
... minor segments according as the arcs that bound them are major or minor arcs . Def . 4. The conjugate angles formed ... arc , and the minor angle upon the minor arc . Def . 5. A sector is the figure contained by an arc and the radii ...
Página 118
... minor arc GH forms a part of , and there- fore is less than , the minor arc DE . And further , since any angle KCL at the centre of the circle A , equal to GFH , stands upon an arc equal to GH , therefore the arc DE is greater than ...
... minor arc GH forms a part of , and there- fore is less than , the minor arc DE . And further , since any angle KCL at the centre of the circle A , equal to GFH , stands upon an arc equal to GH , therefore the arc DE is greater than ...
Página 122
... arcs are subtended by equal chords ; and of two unequal minor arcs , the greater is subtended by the greater chord * Part . En . Let AB , CD be equal arcs of the same or of equal circles ; it is required to prove that the chord AB is ...
... arcs are subtended by equal chords ; and of two unequal minor arcs , the greater is subtended by the greater chord * Part . En . Let AB , CD be equal arcs of the same or of equal circles ; it is required to prove that the chord AB is ...
Página 123
... minor arc AB be greater than the minor arc CD ; it is required to prove that the chord AB is greater than the chord CD . Proof . Because the arc AB is greater than the arc CD , therefore the angle AEB is greater than the angle CFD ...
... minor arc AB be greater than the minor arc CD ; it is required to prove that the chord AB is greater than the chord CD . Proof . Because the arc AB is greater than the arc CD , therefore the angle AEB is greater than the angle CFD ...
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Términos y frases comunes
AB² ABCD alternate angles angle ABC angle APB angle BAC angles are equal angles equal bisector centre chord circumference coincide College Constr construct contrapositive Crown 8vo describe a circle diagonals diameter divided draw Edition equal angles equal circles equiangular Euclid exterior angle fcap Find the locus four right angles Geometry given angle given circle given line given point given rectilineal figure given straight line hypotenuse included angle inscribed intersect isosceles triangle less Let AB Let ABC locus magnitudes meet middle point minor arc opposite angles opposite sides parallel parallelogram perpendicular polygon PROBLEM produced Proof Q. E. D. THEOREM quadrilateral radius rectangle contained reflex angle required to prove rhombus right angles segment semicircle Shew square subtend supplementary supplementary angles tangent THEOREM trapezium triangle ABC triangles are equal unequal
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